Articles liés à A History of the Central Limit Theorem

9780387878560: A History of the Central Limit Theorem

Synopsis

This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace as a statement about approximations for the distributions of sums of independent random variables within the framework of classical probability, which focused upon specific problems and applications.

Making this theorem an autonomous mathematical object was very important for the development of modern probability theory.

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Présentation de l'éditeur

This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace as a statement about approximations for the distributions of sums of independent random variables within the framework of classical probability, which focused upon specific problems and applications. Making this theorem an autonomous mathematical object was very important for the development of modern probability theory.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9781461427018: A History of the Central Limit Theorem: From Classical to Modern Probability Theory

Edition présentée

ISBN 10 :  1461427010 ISBN 13 :  9781461427018
Editeur : Springer, 2012
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